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Inclusion of the hydrostatic pressure term, with constant temperature, in the electron force equation of a diode is shown to give a way by which the effect of Boltzman's relation for a retarding field disappears as the field becomes accelerating. Thus, one equation holds from the cathode surface through the potential minimum to the anode. As a result, one may deduce the usual temperature-limited emission formula for maximum current, the space-charge-limited characteristic, and the transition region from one to the other. Some remarks on this, from the standpoint of transport theory, are included.